Precalculus Textbook 8th Edition Section 1.5 Exercise 43 Solution

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Question:

What is the inverse of the function f(x) = 3x – 2?

Option A: g(x) = x/3 + 2

Option B: g(x) = 2 – 3x

Option C: g(x) = (x + 2) / 3

Option D: g(x) = (x – 3) / 2

Option E: g(x) = (x – 2) / 3

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Solution:

The given function is f(x) = 3x – 2.

Then, y = 3x – 2

Then, y + 2 = 3x

Then, (y + 2) / 3 = x

Then, f^-1(x) = (x + 2) / 3 (Option C)

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